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The paper overviews our recent work on the synthesis of metasurfaces and related concepts and applications. The synthesis is based on generalized sheet transition conditions (GSTCs) with a bianisotropic surface susceptibility tensor model…

Optics · Physics 2017-12-05 Karim Achouri , Christophe Caloz

The paper presents the general concept of spacetime processing metasurfaces, synthesized by generalized sheet transition conditions (GSTCs). It is shown that such metasurfaces can perform multiple simultaneous spatio-temporal processing…

Optics · Physics 2016-02-16 Nima Chamanara , Yousef Vahabzadeh , Karim Achouri , Christophe Caloz

A general method, based on susceptibility tensors, is proposed for the synthesis of metasurfaces transforming arbitrary incident waves into arbitrary reflected and transmitted waves. The proposed method exhibits two advantages: 1)it is…

Optics · Physics 2016-04-27 Karim Achouri , Mohamed Ahmed Salem , Christophe Caloz

We present a polarization-insensitive metasurface processor to perform spatial asymmetric filtering of an incident optical beam, thereby allowing for real-time parallel optical processing. To enable massive parallel processing, we introduce…

Optics · Physics 2021-04-14 Amirhossein Babaee , Ali Momeni , Ali Abdolali , Romain Fleury

Metasurfaces represent one of the most vibrant fields of modern science and technology. A metasurface is a complex electromagnetic structure, that is typically deeply subwavelength in thickness, electrically large in transverse size and…

Optics · Physics 2017-11-01 Yousef Vahabzadeh , Nima Chamanara , Karim Achouri , Christophe Caloz

Analog computing has emerged as a promising candidate for real-time and parallel continuous data processing. This paper presents a reciprocal way for realizing asymmetric optical transfer functions (OTFs) in the reflection side of the…

All-optical image processing provides a fast and energy-efficient alternative to conventional electronic systems by directly manipulating optical wavefronts. However, metasurface-based optical processors reported to date are often limited…

The bianisotropic susceptibility Generalized Sheet Transition Conditions (GSTCs) synthesis method is extended from planar to spherical metasurfaces. Properties specific to the non-zero intrinsic curvature of the spherical shape are…

Applied Physics · Physics 2017-12-29 Xiao Jia , Yousef Vahabzadeh , Fan Yang , Christophe Caloz

This work continues the development of the raytracing method of [1] for computing the scattered fields from metasurfaces characterized by locally periodic reflection and transmission coefficients. In this work, instead of describing the…

Optics · Physics 2022-02-16 Scott Stewart , Yvo L. C. de Jong , Tom J. Smy , Shulabh Gupta

We show that a properly designed bianisotropic metasurface placed at the interface between two arbitrary different media, or coating a dielectric medium exposed to the air, provides Brewster (reflectionless) transmission at arbitrary angles…

Optics · Physics 2021-04-07 Guillaume Lavigne , Christophe Caloz

Optical metasurfaces have been recently explored as ultrathin analog image differentiators. By tailoring the momentum transfer function, they can perform efficient Fourier-filtering - and thus potentially any linear mathematical operation -…

With the advent of new fabrication technologies, time-varying metasurfaces have emerged as novel platforms for exotic waveform shaping in microwaves and optics, providing an additional degree of freedom to design dynamically controllable…

Optics · Physics 2025-03-18 Suat Barış İplikçioğlu , M. I. Aksun

Recently we derived generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metascreen (a metasurface with a ``fishnet'' structure, i.~e., a periodic array of arbitrary spaced apertures in a relatively…

Applied Physics · Physics 2019-02-26 Christopher L. Holloway , Edward F. Kuester , Abdulaziz H. Haddab

Optical metasurfaces performing analog image processing - such as spatial differentiation and edge detection - hold the potential to reduce processing times and power consumption, while avoiding bulky 4F lens systems. However, current…

Optics · Physics 2023-11-08 Michele Cotrufo , Akshaj Arora , Sahitya Singh , Andrea Alù

We present a spectral-domain (SD) technique for the efficient analysis of metasurfaces. The metasurface is modeled by generalized sheet transition conditions (GSTCs) as a zero-thickness sheet creating a discontinuity in the electromagnetic…

Optics · Physics 2017-11-22 Nima Chamanara , Karim Achouri , Christophe Caloz

An Integral Equation (IE) based electromagnetic field solver using metasurface susceptibility tensors is proposed and validated using variety of numerical examples in 2D. The proposed method solves for fields generated by the metasurface…

Computational Physics · Physics 2022-06-29 Tom. J. Smy , Ville Tiukuvaara , Shulabh Gupta

All-optical image processing offers a high-speed, energy-efficient alternative to conventional electronic systems by leveraging the wave nature of light for parallel computation. However, traditional optical processors rely on bulky…

Optics · Physics 2026-03-17 Linzhi Yu , Haobijam J. Singh , Jesse Pietila , Humeyra Caglayan

The paper presents partial overview of the mathematical synthesis and the physical realization of metasurfaces, and related illustrative examples. The synthesis consists in determining the exact tensorial surface susceptibility functions of…

Metasurfaces are efficient and versatile electromagnetic structures that have already enabled the implementation of a wide range of microwave and photonic wave shaping applications. Despite the extensive research into metasurfaces, a…

Optics · Physics 2026-03-16 Mustafa Yücel , Francisco S. Cuesta , Karim Achouri

We used a multiple-scale homogenization method to derive generalized sheet transition conditions (GSTCs) for electromagnetic fields at the surface of a metascreen---a metasurface with a "fishnet" structure. These surfaces are characterized…

Applied Physics · Physics 2018-05-23 Christopher L. Holloway , Edward F. Kuester
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